SOLUTION: The perimeter of a triangle with 2 equal sides is 46m. If its base was lengthened by 4 cm and each leg was shortened by 7 cm, all 3 sides would be equal. Find the length of the bas

Question 624865: The perimeter of a triangle with 2 equal sides is 46m. If its base was lengthened by 4 cm and each leg was shortened by 7 cm, all 3 sides would be equal. Find the length of the base of the original triangle.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I'll call the sides for base, for the other 2 sides
given:
(1)
(2) ( note that is 1 of the sides )
-------------------
(2)
(2)
Subtract (2) from (1)
(1)
(2)

and
(2)
(2)
(2)
---------------
The base of the original triangle is 15.35333 m
check:
(1)
(2)
(2)
and
(2)
(2)
(2)
(2)
OK
RELATED QUESTIONS
The perimeter of a triangle with 2 equal sides is 46 cm. If its base were lengthened by 4 (answered by ewatrrr)

The perimeter of a triangle with 2 equal sides is 71 cm. if its base were lengthened by... (answered by oberobic)

The perimeter of a triangle is 46 cm. The triangle is isosceles now, but if its base were (answered by josgarithmetic,Edwin McCravy,greenestamps)

the perimeter of a triangle is 73cm. the triangle is isosceles now, but if you lengthened (answered by ankor@dixie-net.com)

The perimter of a triangle is 46 cm. The triangle is isosceles now, but if its base were... (answered by edjones)

The circumference of a rectangle with sides a and b is 100 cm. If a is shortened by 5 cm... (answered by ikleyn,josgarithmetic)

1.)a hexagon,a six sided figure,has two equal sides and four sides each measuring... (answered by monika_p)

Hi.. I'm Lavinia and i really need some help with math problems..i would appreciate if... (answered by solver91311)

In an isosceles triangle, the length of each leg exceeds twice the base by 2 cm. The... (answered by nerdybill)